Answer:
x = 10°
y = 25°
Step-by-step explanation:
3x = 5x - 20 because they are alternate interior angles
subtract 5x from each side of the equation:
-2x = -20
Divide both sides by -2:
x = 10°
The sum of the interior angles of any triangle = 180°
2y + 4Y + (5x - 20) = 180°
combine like terms:
6y + 5x - 20 = 180°
add 20 to each side:
6y + 5x = 200°
substitute for x:
6y + 5(10) = 200°
subtract 50 from each side:
6y = 150°
divide both sides by 6:
y = 25°
Answer: 30°
Step-by-step explanation:
solution is in the attachment
The range, in mathematical terms, is only the y-values. So, what does this tell you? It tells you to focus on the y-values (The y values fall on the the vertical line/the line going up in down.). Now add the word function at the end. Range of the function. Translation = Y-values of the function.
According to the picture attachment, the line (in the terms of the y values only) starts at 0 and ends directly at 8, therefore the answer is A.
Answer:
The value will be used as the point estimate for the mean endowment of all private colleges in the United States is of 180.975 millions of dollars.
Step-by-step explanation:
When we have a sample, the mean of the sample is used as the point estimate for the mean of the entire population.
What value will be used as the point estimate for the mean endowment of all private colleges in the United States?
We have to find the mean of the 8 colleges. So

The value will be used as the point estimate for the mean endowment of all private colleges in the United States is of 180.975 millions of dollars.
The components operate independently, so the probability of "total" system failure is the same as the product of each probability of component failure. That is, if

denotes the event that component

fails, then

The

are independent and identically distributed, so

for all

. So